st: -cluster kmeans- or -cluster kmedian-

Dear Statalist,
Stata offers cluster kmeans and cluster kmedian command.
I am wondering why some scholars used cluster kmeans and not cluster
kmedians to form “attitude clusters” of ordinal scalled (likert type)
variables?
Second, to me it does not make much sense to have binary coded
variables included in such a cluster analysis at least if the cluster
analysis is based on Euclidian distance measure, or not?
Thanks! David
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